On φ−Convex Stochastic Processes and Integral Inequalities Related

Authors

Miguel J. Vivas-Cortez, Escuela de Ciencias F ́ısicas y Matema ́ticas , Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Cato ́lica del Ecuador, Av. 12 de Octubre 1076. Apartado, Quito 17-01-2184, EcuadorFollow
Artion Kashuri, Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, L. Pavaresia, Vlora 1001, Vlore, AlbaniaFollow
Jorge Eliecer Herna ́ndez Herna ́ndez, Departamento de Te ́cnicas Cuantitativas, Decanato de Ciencias Econo ́micas y Empresariales, Universidad Centroccidental Lisandro Alvarado, Av. Moran esq. Av. 20, Edf. Los Militares, Ofc.2, ZP: 3001, Barquisimeto, VenezuelaFollow

Author Country (or Countries)

Ecuador

Abstract

In this paper the concept of φ−convex stochastic process is introduced and certain algebraic properties are deduced. Also, some mean square integral inequalities of Hermite-Hadamard type are established. In addition, various mean square integral inequalities are investigated to find upper estimates using of the weighted arithmetic mean, the weighted power mean of order p and the logarithmic mean.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140601

Recommended Citation

J. Vivas-Cortez, Miguel; Kashuri, Artion; and Eliecer Herna ́ndez Herna ́ndez, Jorge (2020) "On φ−Convex Stochastic Processes and Integral Inequalities Related," Applied Mathematics & Information Sciences: Vol. 14: Iss. 6, Article 1.
DOI: http://dx.doi.org/10.18576/amis/140601
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss6/1